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» On the Vulnerability of Large Graphs
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ICASSP
2010
IEEE
15 years 6 months ago
Toward signal processing theory for graphs and non-Euclidean data
Graphs are canonical examples of high-dimensional non-Euclidean data sets, and are emerging as a common data structure in many fields. While there are many algorithms to analyze ...
Benjamin A. Miller, Nadya T. Bliss, Patrick J. Wol...
ARSCOM
2007
77views more  ARSCOM 2007»
15 years 6 months ago
Extremal bipartite graphs with high girth
Let us denote by EX (m, n; {C4, . . . , C2t}) the family of bipartite graphs G with m and n vertices in its classes that contain no cycles of length less than or equal to 2t and h...
Camino Balbuena, Pedro García-Vázque...
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
15 years 6 months ago
Edge-Magic Group Labellings of Countable Graphs
We investigate the existence of edge-magic labellings of countably infinite graphs by abelian groups. We show for that for a large class of abelian groups, including the integers ...
Nicholas J. Cavenagh, Diana Combe, Adrian M. Nelso...
DM
2007
142views more  DM 2007»
15 years 6 months ago
Dominating direct products of graphs
An upper bound for the domination number of the direct product of graphs is proved. It in particular implies that for any graphs G and H, γ(G × H) ≤ 3γ(G)γ(H). Graphs with a...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
TVCG
2010
141views more  TVCG 2010»
15 years 4 months ago
Fast Construction of k-Nearest Neighbor Graphs for Point Clouds
—We present a parallel algorithm for k-nearest neighbor graph construction that uses Morton ordering. Experiments show that our approach has the following advantages over existin...
Michael Connor, Piyush Kumar